A difícil aceitação dos números negativos: um estudo da teoria dos números de Peter Barlow (1776-1862)

The present study seeks to present a historico-epistemological analysis of the development of the mathematical concept of negative number. In order to do so, we analyzed the different forms and conditions of the construction of mathematical knowledge in different mathematical communities and, thus, identified the characteristics in the establishment of this concept. By understanding the historically constructed barriers, especially, the ones having ontologicas significant, that made the concept of negative number incompatible with that of natural number, thereby hindering the development of the concept of negative, we were able to sketch the reasons for the rejection of negative numbers by the English author Peter Barlow (1776 -1862) in his An Elementary Investigation of the Theory of Numbers, published in 1811. We also show the continuity of his difficulties with the treatment of negative numbers in the middle of the nineteenth century

A razão embotada: ensaios de crítica literária

A obra "A razão embotada: ensaios de crítica literária", de autoria do prof. Andrey Pereira de Oliveira, do Departamento de Letras da UFRN, é composta por 14 ensaios que discorrem acerca de obras das literaturas brasileira e universal. Os textos tiveram uma primeira publicação em livros coletivos, revistas acadêmicas ou anais de congressos científicos e passaram por adaptações para reunião neste volume.

Obras complementares: um elo entre a leitura e os conteúdos matemáticos

The Federal Government through its Plans and Programs invests in various policies intended to achieve the main goal of the millennium, provide basic education for all. Among them, we highlight in this paper The National Textbook Program, with emphasis on Complementary Works. These works are presented through different genres, such as poems, poetry, short stories, parables, novels, literature, educational materials etc.. providing a range of possible teaching work. However, little is known about the levels of education of teachers as intended. Based on the discussions and studies in this direction, sparked concerns us in the process of teaching and learning in math classes. This made us pay attention to a possibility of study where reading could be included in this process. In this sense, the present study aims at investigating the potential of conceptual and didactic use of Complementary Works on developing the skills of reading and writing mathematics of the first three years of elementary school, and from there, propose a courseware with guidelines for use of these works by teachers of 1st to 3rd year of elementary school. For this, we outline the issues of reading and understanding of mathematical interests as those of our study. In this sense, the proposal was built from the bibliographic works that address the contributions of reading for learning mathematical content, like Machado (2001), Nacarato (2009); Dantas (2011), Smole and Diniz ( 2001). As a result, we created the Guidance for the use of Complementary Works for Teachers to Teach Mathematics with a view to support the practice of teachers and future teachers who teach mathematics. Supported the use of Complementary Works, especially those distributed in public schools by the National Textbook - PNLD and have mathematical content, this guide is intended to present some of the possible use of this feature in math classes. (Education Observatory - Capes / INEP. Ed. 038-2010. TELL Research Group - UFRN - PPGED / PPGEL / PPGECNM - PROPESQ)

Do cientista ao ativista: os problemas da ciência do texto e uma solução revolucionaria na obra de Terry Eagleton

The literary critic Terry Eagleton obtained notoriety in academic circles when he was recognized intellectually for his bestselling book Literary Theory: An Introduction. In this book, the English author boldly proposes the end of literature and literary criticism. However, Eagleton proposed years before, in his book Criticism and Ideology (1976), a scientific system of analysis of literary texts, which seemed less radical, both in theory and in method, than in his later theoretical proposal. Based on this, the objective of this dissertation is to present the English literary critic´s initial method, explaining the reasons that led him to abandon his initial project - of develop a method of analysis of the literary text on a Marxist scientific perspective - and to propose, in the following years, in his most famous book and others, a revolutionary vision that would go beyond textual analysis and make literary texts have a practical intervention in society. Finally, we explain what would be his idea of revolutionary criticism

A Revue Des Deux Mondes

Originalmente tese de doutorado da autora, defendida na Universidade de São Paulo, a obra discorre acerca do papel dos periódicos recreativos, científicos e literários na sociedade brasileira do século Xix e início do século XX. Demonstrando amplo domínio bibliográfico a respeito das discussões mais recentes sobre o assunto, a autora preenche uma lacuna sobre a revista francesa, que logo caiu no gosto das elites brasileiras a partir do Segundo Reinado.

Ensinar e aprender História na relação dialética entre interpretação e consciência histórica crítica

Teaching and learning History in dialectical relationship between interpretation and critical historical awareness has investigated the triggering of a theoretical-practical training process developed with a history teacher, her mediation in the teaching and learning of the discipline process, related to the appropriation of history text interpretation and the development of critical historical consciousness by public school 8 th-grade students of elementary level. It aims to analyze the relationship between mediation of teaching activity and ownership by the student on this level, the interpretation of history texts and development of this consciousness. It has been opted for collaborative research, as training and strategy, and was employed as procedures for the formation of knowledge: Meeting, Cycles of Reflexive Studies, Planning (with teachers), Observation performed in real life and portfolio (involving students). The teacher appropriated of contributions of the theory by P. Ya . Galperin and critical historical consciousness and developed a teaching process using a methodology grounded in theoretical constructs this author. The students appropriated the interpretation of history texts and demonstrated to be in a process of developing a critical historical consciousness. Performance of the students occurred more consistently in the interpretations implemented in groups, with teacher guidance and support of the activity map. Training processes, performed in and about teaching and student activities, revealed an improvement in teacher's professional development and the knowledge and expertise of the students. It has contributed to this, the critical reflection experienced in the investigative process. Given these findings, as needs of new thinking, research recommends the development of teaching and learning processes in other years of elementary school, involving the interpretation of history texts and the development of critical historical consciousness of students.

concepções de administração e administrador em tempos de capitalismo flexível: uma abordagem crítica

A tese trata de dois construtos sócio-históricos Administração e Administrador em face do capitalismo em sua fase flexível. Considerando as mudanças do capitalismo, o texto estabelece como objeto de estudo as concepções de Administração e Administrador, para o campo administrativo, na contemporaneidade. A tese é suportada por uma pesquisa de campo cujo objetivo foi compreender criticamente as concepções do campo administrativo sobre a Administração e o Administrador, em tempos de capitalismo flexível. Epistemologicamente, a pesquisa foi conduzida a partir da perspectiva crítica frankfurtiana, fundamentada em três pares categóricos dialéticos: (i) história versus naturalização; (ii) práxis social versus sistema; e (iii) alienação versus emancipação; privilegiando o pensamento crítico vinculado à primeira geração da Escola de Frankfurt. A literatura prevalente da área de Administração foi revisada mediada pelas duas questões ontológicas que suportam a tese: O que é Administração? e O que é Administrador? para autores como Taylor, Fayol, Drucker, Ohno, Deming, Champy e Mintzberg. Metodologicamente, foi realizada uma pesquisa integralmente qualitativa, com uso de três tipos de entrevistas: (i) entrevista narrativa com história de vida; (ii) entrevista com uso de elementos-estímulo; e (iii) entrevista narrativa ficcional. Para compreensão das narrativas, foi utilizada a técnica de análise hermenêutico-dialética. Os resultados indicam o predomínio da concepção pragmática-instrumental, no tocante à Administração, pela qual ela continua a ser pensada e discursada como uma ação tecnológica e teleológica, que utiliza saberes múltiplos e aprendizagens cambiantes como meios para alcance das finalidades do contexto organizacional mutante. Com relação ao Administrador, há a emergência da concepção estética para apresentá-lo, quando vinculado às organizações. Por esta concepção, há a migração do histórico estereótipo do Administrador controlador e vigilante para a representação do Administrador como um profissional performático. O segundo resultado, que se apresenta como o mais relevante em relação ao Administrador, é o da fuga da profissão. A partir dos pares categóricos dialéticos, esta tese propõe algumas sínteses provisórias críticas: (i) história-naturalização: os sujeitos tomam como naturais a organização empresarial e suas demandas, naturalizando as recentes mudanças que, entre outras coisas, reduzem os postos gerenciais; (ii) práxis social-sistema: pela concepção pragmática-instrumental, as experiências dos Administradores são concebidas a partir do confinamento funcionalista em uma organização-sistema; (iii) emancipação-alienação: tanto a forma naturalizada com que especificam as organizações e sua Administração quanto a práxis interrompida velada em uma experiência reificada mostram-se como fenômenos intrinsecamente e subjetivamente alienantes e contraemancipatórios. Por outro lado, através do movimento de fuga da profissão, os entrevistados parecem (re)significar o silêncio fundador da alienação associada à condição de Administrador: a de pensar como capital, e não se pensar como trabalho. Finalmente, o texto propõe que as possibilidades de emancipação deste profissional residem na tomada de consciência de sua condição como integrante da classe trabalhadora, mesmo em tempos de riscos e incertezas. Assumindo-se como trabalhador, o Administrador poderá lutar pelo seu trabalho, repensando-o em novos termos, em que as dimensões pragmáticas-instrumentais que envolvem sua profissão possam ser dosadas e sempre mediadas por conteúdos substantivos e emancipatórios

O ensino da história e o pensamento reflexivo-crítico da professora no 3º ano do Ensino Fundamental

This collaborative research is a qualitative approach, from historical and cultural perspective, made about a teacher of third grade of basic education in the area of history, in the municipality of Caicó / RN. It has as objective to investigate, in a collaborative action, if the design process of teaching and learning the discipline of history based on the relationship before / after allows the development of critical reflective thinking of the teacher in school practices. The theoretical and methodological approaches are supported in the postulates of Vygotsky (1998), Rubinstein (1973) and Linblinskaia (1979), among others, whose understanding has led us to reflect if the teacher develops the reflective critical-thinking in history discipline classes. The complexity of the study led us to an analysis exercise, using different methodological procedures, such as: bibliographic review of the literature, considering also the literature of the history area, interviews, observation in the classroom, video recordings and reflective sessions, enabling clarify the construction and reconstruction of thought that the teacher had been developing during the process of teaching and learning. The test results point to a dichotomy between theory and practice, and also to a certain fragility in the position of professor in teaching and learning the discipline of history, at the third grade of basic education. The teacher recognizes that she requires a theoretical deepening with more intensity, as a process of continuous training to improve the practice of teaching in history school, though, stating in her speech that her teaching practice is based on critical reflection. However, she presents serious limitations in classroom practices. We conclude that, although she has shown willing to work on a critical perspective of reality, showed also poor change at school practices, starting to reflect about her own actions, pointing her limits and the changes needed that didn t become reality yet. It s necessary a formative process for her. The study therefore showed that even with the sessions and reflective of deepening theoretical studies, the teacher does not change its profile, while maintaining its traditional vision in any pedagogical action. This research recommends the formation of school groups for further studies and discussion on the practices of education in history area from a reflective-critical thought perspective as a mean of personal and professional development

A história escolar e a teoria da atividade: relações e possibilidades formativas no ensinar e aprender

This study investigates the manner in which the Activity Theory by Alexei Nikolaevich Leontiev contributed to the performance of a teacher who teaches History at the 8th year of elementary school, Escola Estadual Coronel Fernandes, in Luís Gomes - RN city. Her goal is to analyze the contributions of this theory in her teaching practice. It was opted by collaborative approach as formative strategy and was used as procedures for training of knowing the courses of study and thoughtful reflection sessions. It was used as techniques in the development of these cycles, the semistructured interview and the reflection sessions, the autoscopy and observation in real life. Regarding the theoretical foundation, held in these cycles, the teacher demonstrated to have appropriated some contributions from Activity Theory, besides relating them to her practice and understanding her importance to the improvement of teaching and learning of History. Concerning to the reflection sessions, the analysis showed that the participant has used of constructions of this theory and improved their practice, developing lessons of History so as to encourage student participation in oral and promote his integral development. The educational process, carried out on the practice of teacher, has shown an increase in her conscious learning that contributed to the improvement in their professional development. Before these findings, as needs for new thinking, this research recommends, especially the organization of teaching activities, based on this theory, which allows the teacher to improve the teaching and learning process contributing to student's full education

Entre cartas e contos na sala de aula: diálogos e afetos em textos de Mário de Andrade e Câmara Cascudo

Specific educational material production for a group of level IV – 8th and 9th years of Youth and Adults Education, having as starting point the reading of a series of letter of correspondence between Câmara Cascudo and Mário de Andrade in the 1920s, and the verification of the way the dialog between the two authors reveals elements that transpire themselves in the tale entitled “Piá não sofre? Sofre”, from the book Os contos de Belazarte, de Mário de Andrade. The educational material production was preceded by the analysis of the selected tale, which will be studied along with some of the letters, in an analysis of the textual, discursive and semantic features of the text in representation of these both genres: letter and tale. The selected tale was written between 1923 and 1926, dates close to the years when the author came by Rio Grande do Norte state, in the years from 1927 to 1929, accompanied by Câmara Cascudo, being also this period that there are records of letters in the set of correspondence between them. To the reading of the selected material, it was used theoretical references from literature and literary historiography, especially the history of Brazilian modernist movement. To the production of the educational material, it was chosen as theoretical reference the accumulated knowledge in the area of literature teaching, literacy and the recommendations of the Brazilian National Curriculum Parameters. The methodology in this study was constructed from the theoretical references and had as basic support the study of didactic sequences from which a specific thematic unit got its shape from, required by the analyzed material and tested in a classroom.

Entre cartas e contos na sala de aula: diálogos e afetos em textos de Mário de Andrade e Câmara Cascudo

Specific educational material production for a group of level IV – 8th and 9th years of Youth and Adults Education, having as starting point the reading of a series of letter of correspondence between Câmara Cascudo and Mário de Andrade in the 1920s, and the verification of the way the dialog between the two authors reveals elements that transpire themselves in the tale entitled “Piá não sofre? Sofre”, from the book Os contos de Belazarte, de Mário de Andrade. The educational material production was preceded by the analysis of the selected tale, which will be studied along with some of the letters, in an analysis of the textual, discursive and semantic features of the text in representation of these both genres: letter and tale. The selected tale was written between 1923 and 1926, dates close to the years when the author came by Rio Grande do Norte state, in the years from 1927 to 1929, accompanied by Câmara Cascudo, being also this period that there are records of letters in the set of correspondence between them. To the reading of the selected material, it was used theoretical references from literature and literary historiography, especially the history of Brazilian modernist movement. To the production of the educational material, it was chosen as theoretical reference the accumulated knowledge in the area of literature teaching, literacy and the recommendations of the Brazilian National Curriculum Parameters. The methodology in this study was constructed from the theoretical references and had as basic support the study of didactic sequences from which a specific thematic unit got its shape from, required by the analyzed material and tested in a classroom.

Concepções de administração e administrador em tempos de capitalismo flexível: uma abordagem crítica

A tese trata de dois construtos sócio-históricos Administração e Administrador em face do capitalismo em sua fase flexível. Considerando as mudanças do capitalismo, o texto estabelece como objeto de estudo as concepções de Administração e Administrador, para o campo administrativo, na contemporaneidade. A tese é suportada por uma pesquisa de campo cujo objetivo foi compreender criticamente as concepções do campo administrativo sobre a Administração e o Administrador, em tempos de capitalismo flexível. Epistemologicamente, a pesquisa foi conduzida a partir da perspectiva crítica frankfurtiana, fundamentada em três pares categóricos dialéticos: (i) história versus naturalização; (ii) práxis social versus sistema; e (iii) alienação versus emancipação; privilegiando o pensamento crítico vinculado à primeira geração da Escola de Frankfurt. A literatura prevalente da área de Administração foi revisada mediada pelas duas questões ontológicas que suportam a tese: O que é Administração? e O que é Administrador? para autores como Taylor, Fayol, Drucker, Ohno, Deming, Champy e Mintzberg. Metodologicamente, foi realizada uma pesquisa integralmente qualitativa, com uso de três tipos de entrevistas: (i) entrevista narrativa com história de vida; (ii) entrevista com uso de elementos-estímulo; e (iii) entrevista narrativa ficcional. Para compreensão das narrativas, foi utilizada a técnica de análise hermenêutico-dialética. Os resultados indicam o predomínio da concepção pragmática-instrumental, no tocante à Administração, pela qual ela continua a ser pensada e discursada como uma ação tecnológica e teleológica, que utiliza saberes múltiplos e aprendizagens cambiantes como meios para alcance das finalidades do contexto organizacional mutante. Com relação ao Administrador, há a emergência da concepção estética para apresentá-lo, quando vinculado às organizações. Por esta concepção, há a migração do histórico estereótipo do Administrador controlador e vigilante para a representação do Administrador como um profissional performático. O segundo resultado, que se apresenta como o mais relevante em relação ao Administrador, é o da fuga da profissão. A partir dos pares categóricos dialéticos, esta tese propõe algumas sínteses provisórias críticas: (i) história-naturalização: os sujeitos tomam como naturais a organização empresarial e suas demandas, naturalizando as recentes mudanças que, entre outras coisas, reduzem os postos gerenciais; (ii) práxis social-sistema: pela concepção pragmática-instrumental, as experiências dos Administradores são concebidas a partir do confinamento funcionalista em uma organização-sistema; (iii) emancipação-alienação: tanto a forma naturalizada com que especificam as organizações e sua Administração quanto a práxis interrompida velada em uma experiência reificada mostram-se como fenômenos intrinsecamente e subjetivamente alienantes e contraemancipatórios. Por outro lado, através do movimento de fuga da profissão, os entrevistados parecem (re)significar o silêncio fundador da alienação associada à condição de Administrador: a de pensar como capital, e não se pensar como trabalho. Finalmente, o texto propõe que as possibilidades de emancipação deste profissional residem na tomada de consciência de sua condição como integrante da classe trabalhadora, mesmo em tempos de riscos e incertezas. Assumindo-se como trabalhador, o Administrador poderá lutar pelo seu trabalho, repensando-o em novos termos, em que as dimensões pragmáticas-instrumentais que envolvem sua profissão possam ser dosadas e sempre mediadas por conteúdos substantivos e emancipatórios

Teoria do déficit de autocuidado análise da sua importância e aplicabilidade na prática de enfermagem

submeter a teoria do déficit de autocuidado de Orem a uma reflexão crítica. Metodologia: estudo teórico sobre os aspectos Importância e Aplicabilidade contidos no Modelo de Análise Crítica de Chinn e Kramer para análise crítica da teoria do déficit de autocuidado. Desenvolvido no período de outubro a dezembro de 2008. Resultados: o posicionamento da teoria do déficit de autocuidado está essencialmente relacionado à filosofia da enfermagem e demonstra potencial para influenciar ações de enfermagem, em especial relativas à educação para o autocuidado em pacientes portadores de cardiopatia isquêmica. Conclusões: a enfermagem, mediante a teoria do déficit de autocuidado, pode oferecer condições mais saudáveis e de maior autonomia ao indivíduo portador de cardiopatia isquêmica

A relação histórica entre democracia e liberalismo. Um diálogo crítico com Norberto Bobbio.

This work seeks to examine the historical relationships established between liberalism and democracy, questioning the apparent inseparability between the two ideologies. Methodologically construct a hypothetical dialogue with the Italian thinker Norberto Bobbio, one of the most important systematizers of liberal democracy, defending a theoretical and conceptual complementarity between the two ideologies. Following the Bobbio theoretical propose, it presents the political contributions of classical liberalism that the Italian thinker identify as logical and axiological antecedent of the modern democracy, naturalizing and universalizing the principles and ideals of classical liberalism. Going counter, it problematizes the political contributions of classical liberalism, emphasizing the tension between liberal theory and its practice, between the declared political principles and their translation into concrete historical reality, reserving rights and freedoms to property minority and severe restrictions to the majority. The critical analysis of classical liberalism allows questioning the privilege position that Bobbio reserves to the liberalism in the democracy history, to restore the important contribution of illiberal politics currents in the civil, political and social rights history, advocating the democracy with its social character, inclusive and participatory